MathDB4 problems
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Omitted-value conjecture for Herman rings
Omitted-value conjecture. A meromorphic function with an omitted value cannot have a Herman ring.
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Nonexistence conjecture for Herman rings and quasi-nested wandering domains
Nonexistence conjecture for Herman rings. A meromorphic function with a quasi-nested wandering domain has no Herman rings.
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Quasiconformal-surgery conjecture for omitted values and Siegel discs
Quasiconformal-surgery conjecture. To produce a meromorphic map with an omitted value via quasiconformal surgery, one must start with a function that already has an omitted value a…
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Generic algebraic-set convergence conjecture for meromorphic maps
Generic algebraic-set convergence conjecture. For a very generic algebraic set of dimension , the iterates